Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880l |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
81181440000 = 211 · 37 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33483,-2358182] |
[a1,a2,a3,a4,a6] |
j |
2780605132562/54375 |
j-invariant |
L |
2.8234750898679 |
L(r)(E,1)/r! |
Ω |
0.35293438623348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10440t3 83520gm4 6960t3 104400x4 |
Quadratic twists by: -4 8 -3 5 |